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Collected works / 2 Publications 1938-1974.

Kurt Godel (1906-1978) was the most outstanding logician of the twentieth century. This second volume of a comprehensive edition of Godel's works collects the remainder of his published work, covering the period 1938-1974. (Volume I included all of his publications from 1929-1936). Each article or closely related group of articles is preceded by an introductory note that elucidates it and places it in historical context. The aim is to make the full body ofGodel's work as accessible and useful to as wide an audience as possible, without in any way sacrificing the requirements of historical and scientific accuracy.Read more...

Godel 1938: Introductory note to 1938, 1939, 1939a, and 1940 by Robert M. Solovay; The consistency of the axiom of choice and of the generalized continuum hypothesis; Godel 1939: the consistency of the generalized continuum hypothesis; Godel 1939a: Consistency proof for the generalized continuum hypothesis; Godel 1940: the consistency of the axiom of choice and of the generalized continuum hypothesis with the axioms of set theory; Godel 1944:Introductory note to 1944 by Charles Parsons; Russell's mathematical logic; Godel 1946: Introductory note to 1946 by Charles Parsons; Remarks before the Princeton bicentennial conference on problems in mathematics; Godel 1947: Introductory note to 1947 and 1964 by Gregory H. Moore; What is Cantor's continuum problem?; Godel1949: Introductory note to 1949 and 1952 by S.W. Hawking; An example of a new type of cosmological solutions of Einstein's field equations of gravitation; Godel 1949a: Introductory note to 1949a by Howard Stein; A remark about the relationship between relativity theory and idealistic philosophy; Godel 1952: Rotaoting universes in general relativity theory; Godel 1958: Introductory note to 1958 and 1972 by A.S. Troelstra; UEber eine bisher noch nicht benutzte Erweiterungdes finiten Standpunktes; On a hitherto unutilized extension of the finitary standpoint; Godel 1962: postscript to Spector 1962; Godel 1964: What is Cantor's continuum problem? Godel 1972: On an extension of finitary mathematics which has not yet been used; Godel 1972a: Introductory note to 1972a by Solomon Feferman, RobertM. Solovay, and Judson C. Webb; Some remarks on the undecidability results; Godel 1974: Introductory note to 1974 by Jens Erik Fenstad; Remark on non-standard analysis; Textual notes; References.

Responsibility:

Kurt Gödel. Ed. by Solomon Feferman ...

Reviews

Editorial reviews

Publisher Synopsis

This is the second volume of this impressive series of Godel's works ... this second volume of his published works is really fundamental, as it was only in this period that Godel decided to make public some traits of his philosophical position ... The introductory note to these writings, by R. Solovay, seems to me historically and technically superb. I congratulate the editorial team for including in this volume the improved 1972 version of theDialectica paper of 1958 on finitary mathematics ... As a whole, the book is absolutely indispensable for anyone interested in Godel's ideas, or generally on the history and philosophy of logic and mathematics. * Frqancisco A. Rodriguez-Consuegra, Universidad de Barcelona, Modern Logic, Volume 4, no. 3 (July 1994) * These volumes contain, as well as the doctoral dissertation and a hitherto unpublished revision of a translation of the Dialectica paper, all of Godel's work printed in his lifetime. The volumes are meticulously edited and are a pleasure to consult. Original page numbers are clearly shown; papers written in German are printed with facing translations. * R.O. Gandy, Bulletin of the London Mathematical Society, 24 (1992) * From reviews of Volume I:Anyone interested in the life and work of Kurt Godel, or in the history of mathematical logic in this century, is indebted to all of the contributors to this volume for the care with which they have presented Godel's work. They have succeeded in using their own expertise to elucidate both the nature and the significance of what Godel and, in turn, mathematical logic have accomplished. * Isis From the example of this first volume, the edition promises to be a model of its kind; virtually nothing could be bettered. *Read more...